Analysis and synthesis on a generalized stability region

Author

Halsey, Kelvin M. ; Glover, Keith

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Vic., Australia

Volume

50

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

997

Lastpage

1009

Abstract

The generalization of the ν-gap metric to a finitely connected stability region is derived. The results hold for the class of all linear, time-invariant systems which admit a continuous coprime factorization including the nonrational case. A limited extension of the H_∞-loopshaping synthesis procedure is obtained via conformal mapping. An example is given where enlargement of the stability region can be used to transform the problem into one which is solvable via uniform stability margin optimization.

Keywords

H^∞ optimisation; aerospace control; conformal mapping; control system analysis; control system synthesis; linear systems; stability; H_∞-loopshaping synthesis procedure; conformal mapping; continuous coprime factorization; finitely connected stability region; generalised stability region; linear time-invariant systems; model comparison; nonrational case; parametric uncertainty comparison; stability region enlargement; uniform stability margin optimization; v-gap metric; Aerospace control; Aerospace engineering; Automotive engineering; Control system synthesis; Frequency; Kelvin; Robust stability; Stability analysis; Symmetric matrices; Uncertainty; Cascade control; nonrational systems; robustness; stability margins;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.851436

Filename

1463306